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Tests for Long‐Run Granger Non‐Causality in Cointegrated Systems

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  • Taku Yamamoto
  • Eiji Kurozumi

Abstract

. In this article, we propose a new approach to test the hypothesis of long‐run Granger non‐causality in cointegrated systems. We circumvent the problem of singularity of the covariance matrix associated with the usual Wald‐type test by proposing a generalized inverse procedure. A test for the ranks of submatrices of the cointegration matrix and its orthogonal matrix plays a vital role in our procedure. The relevant small‐sample experiments indicate that the proposed method performs reasonably well in finite samples. As empirical applications, we examine long‐run causal relations among long‐term interest rates of three nations.

Suggested Citation

  • Taku Yamamoto & Eiji Kurozumi, 2006. "Tests for Long‐Run Granger Non‐Causality in Cointegrated Systems," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 703-723, September.
    • Handle: RePEc:bla:jtsera:v:27:y:2006:i:5:p:703-723
    DOI: 10.1111/j.1467-9892.2006.00484.x
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    1. Kurozumi, Eiji, 2005. "The Rank Of A Submatrix Of Cointegration," Econometric Theory, Cambridge University Press, vol. 21(2), pages 299-325, April.
    2. Jean-Marie Dufour & Eric Renault, 1998. "Short Run and Long Run Causality in Time Series: Theory," Econometrica, Econometric Society, vol. 66(5), pages 1099-1126, September.
    3. Kurozumi, Eiji & 黒住, 英司, 2003. "Testing the Rank of a Sub-Matrix of Cointegration with a Deterministic Trend," Discussion Papers 2003-14, Graduate School of Economics, Hitotsubashi University.
    4. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    5. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
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    Cited by:

    1. Ghysels, Eric & Hill, Jonathan B. & Motegi, Kaiji, 2016. "Testing for Granger causality with mixed frequency data," Journal of Econometrics, Elsevier, vol. 192(1), pages 207-230.
    2. Yiannis Kamarianakis & Vagelis Kaslis, 2005. "Geographical competition-complementarity relationships between Greek regional economies," ERSA conference papers ersa05p552, European Regional Science Association.
    3. Al-Sadoon, Majid M., 2019. "Testing subspace Granger causality," Econometrics and Statistics, Elsevier, vol. 9(C), pages 42-61.
    4. Giovanni Angelini & Emanuele Bacchiocchi & Giovanni Caggiano & Luca Fanelli, 2019. "Uncertainty across volatility regimes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(3), pages 437-455, April.
    5. Paolo Paruolo, 2006. "The Likelihood Ratio Test for the Rank of a Cointegration Submatrix," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 921-948, December.
    6. Gulasekaran Rajaguru & Ahmed M Khalid & Francesco Barbera, 2014. "It’s not yen, euro or koala bloc: Greenback is still dominant in East Asia," Australian Journal of Management, Australian School of Business, vol. 39(4), pages 549-571, November.
    7. Al-Sadoon, Majid M., 2014. "Geometric and long run aspects of Granger causality," Journal of Econometrics, Elsevier, vol. 178(P3), pages 558-568.
    8. Stephanie-Carolin Grosche, 2014. "What Does Granger Causality Prove? A Critical Examination of the Interpretation of Granger Causality Results on Price Effects of Index Trading in Agricultural Commodity Markets," Journal of Agricultural Economics, Wiley Blackwell, vol. 65(2), pages 279-302, June.
    9. Fanelli, Luca & Paruolo, Paolo, 2010. "Speed of adjustment in cointegrated systems," Journal of Econometrics, Elsevier, vol. 158(1), pages 130-141, September.
    10. repec:dau:papers:123456789/1483 is not listed on IDEAS
    11. Ingianni, Andrea, 2012. "Intra-European Union trade openness and new members’ output convergence: A time-series analysis," Economics Discussion Papers 2012-5, School of Economics, Kingston University London.
    12. Gulasekaran Rajaguru & Safdar Ullah Khan, 2021. "Causality between Energy Consumption and Economic Growth in the Presence of Growth Volatility: Multi-Country Evidence," JRFM, MDPI, vol. 14(10), pages 1-26, October.
    13. Bilge Kagan Ozdemir, 2009. "Banking Sector Stability During The Process Of Euro Adoption," Anadolu University Journal of Social Sciences, Anadolu University, vol. 9(1), pages 123-1236, June.

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    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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